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(10 pts). Show that the within-cluster variation (WCV) satisfies k=1 C(i)=k,C(j)-k equals to Σ Σ 1x,-제12,...
(1 point) Let F(x, y, z) = 1z- xi + (x2 + tan(z)j + (1x²z +...
(1 point) Let F(x, y, z) = 1z- xi + (x2 + tan(z)j + (1x²z + 3y2)k. Use the Divergence Theorem to evaluate /s F. ds where S is the top half of the sphere x2 + y2 + z2 = 1 oriented upwards. SSsF. dS =
(3) Consider the following three languages over the alphabet Σ default i,j, k, are non-negative i...
(3) Consider the following three languages over the alphabet Σ default i,j, k, are non-negative integers (can be 0): (a,b,c,d), where by One of these is not a CFL; the other two are CFLs. Give context-free grammars for the two that are CFLs, and a CFL Pumping Lemma proof for the one that is not a CFL. (You need not prove your grammars correct, but their plan should be clear. (6+6+18 30 pts., for 74 total on the set)
(3)...
Use Stokes' Theorem to evaluate fF.dr where F = (x +92) i + (1x + y)j...
Use Stokes' Theorem to evaluate fF.dr where F = (x +92) i + (1x + y)j + (2y = z)k and C is the curve of intersection of the plane x + 3y +z = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)
No a,b needed. please do c and d with clear steps A mixture of m univariate...
No a,b needed. please do c and d with clear steps
A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k...
c Question 24 2 pts Why are processes that reduce within-population genetic variation often a problem...
c
Question 24 2 pts Why are processes that reduce within-population genetic variation often a problem for a population in the long run? HTML Editora B := I V A Da - A - Ix E NVX G 3 3 @ 3 x J x 12pt E - O Paragraph - @ O words Question 25 2 pts How are bottlenecks and founder effects similar and how are they different in how they occur AND how they affect populations and...
please work out parts b,c,d with clear steps thanks A mixture of m univariate Gaussians has...
please work out parts b,c,d with clear steps thanks
A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k < m....
Only need parts c, e, j, m, and p only need parts c, e, j, m,...
Only need parts c, e, j, m, and p
only need parts c, e, j, m, and p
15. Suppose that X i ~ N(, σ*), i = 1, . . . , n and Zi ~ N(0, 1), i-1, , k, and all variables independent. State the distribution of each of the following variables if it is a "named" distribution or otherwise state "unknown." (a) X1-X2 (i) (b) X2 + 2X3 () Z2 We were unable to transcribe this...
Let Xi ~ N(μ, σ?), where ơỈ are known and positive for i-1, are independent. Let /- (a) Find the ...
Please show every step, thank you.
Let Xi ~ N(μ, σ?), where ơỈ are known and positive for i-1, are independent. Let /- (a) Find the mean and variance of μ. (b) Compare μ to X,-n-Σί.i Xi as an estimator of μ. , n, and Xi, X, , E-1(1/o .m be the MLE of μ.
Let Xi ~ N(μ, σ?), where ơỈ are known and positive for i-1, are independent. Let /- (a) Find the mean and variance of μ....
0 2 10 0 2 8 Consider the multiple regression model where є¡ ~ iid Ņ(0, σ*) for i = i, 2, 3, 4, 5...
0 2 10 0 2 8 Consider the multiple regression model where є¡ ~ iid Ņ(0, σ*) for i = i, 2, 3, 4, 5. (c) Fill in the values for the following ANOVA table: Source of Variation Sum of Squares df Mean Square F Regression on Xi, X2 Error Total (Corrected) (d) State the nul and alternative hypotheses associated with the F test from the ANOVA table in part (c) and do the F test (e) Compute R2 (f)...
3. (20 pts) Do not use a computer to complete the answers for this problem. Show your work in all...
Please solve the problems (d),(e),(f),(g)
3. (20 pts) Do not use a computer to complete the answers for this problem. Show your work in all problems. Consider the following data: 2 -2 2 1 0 4 0 2 10 0 -2 8 Consider the multiple regression model where ci ~ iid N(0, σ*) for i 1, 2, 3, 4, 5. (a) Fill in the values for response vector, design matrix and coefficient vector: X- (b) Find the vector of least...
(1 point) Let F(x, y, z) = 1z- xi + (x2 + tan(z)j + (1x²z + 3y2)k. Use the Divergence Theorem to evaluate /s F. ds where S is the top half of the sphere x2 + y2 + z2 = 1 oriented upwards. SSsF. dS =
(3) Consider the following three languages over the alphabet Σ default i,j, k, are non-negative integers (can be 0): (a,b,c,d), where by One of these is not a CFL; the other two are CFLs. Give context-free grammars for the two that are CFLs, and a CFL Pumping Lemma proof for the one that is not a CFL. (You need not prove your grammars correct, but their plan should be clear. (6+6+18 30 pts., for 74 total on the set)
(3)...
Use Stokes' Theorem to evaluate fF.dr where F = (x +92) i + (1x + y)j + (2y = z)k and C is the curve of intersection of the plane x + 3y +z = 12 with the coordinate planes. (Assume that C is oriented counterclockwise as viewed from above.)
No a,b needed. please do c and d with clear steps
A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k...
c
Question 24 2 pts Why are processes that reduce within-population genetic variation often a problem for a population in the long run? HTML Editora B := I V A Da - A - Ix E NVX G 3 3 @ 3 x J x 12pt E - O Paragraph - @ O words Question 25 2 pts How are bottlenecks and founder effects similar and how are they different in how they occur AND how they affect populations and...
please work out parts b,c,d with clear steps thanks
A mixture of m univariate Gaussians has the PDF: X(x) - where each pi 0 and Σ-i pi-1, and N(x; μ, σ*) = (2πσ2)-1/2 exp (-(x-p?/(2σ2)) exp (-(x-μ)2 a) How many parameters does a mixture of m Gaussians have? b) Let xi, , Vn be n observations drawn from a mixture of m Gaussians. Write down the log-likelihood function. Hint: it should involve two summations c) Let 1 k < m....
Only need parts c, e, j, m, and p
only need parts c, e, j, m, and p
15. Suppose that X i ~ N(, σ*), i = 1, . . . , n and Zi ~ N(0, 1), i-1, , k, and all variables independent. State the distribution of each of the following variables if it is a "named" distribution or otherwise state "unknown." (a) X1-X2 (i) (b) X2 + 2X3 () Z2 We were unable to transcribe this...
Please show every step, thank you.
Let Xi ~ N(μ, σ?), where ơỈ are known and positive for i-1, are independent. Let /- (a) Find the mean and variance of μ. (b) Compare μ to X,-n-Σί.i Xi as an estimator of μ. , n, and Xi, X, , E-1(1/o .m be the MLE of μ.
Let Xi ~ N(μ, σ?), where ơỈ are known and positive for i-1, are independent. Let /- (a) Find the mean and variance of μ....
0 2 10 0 2 8 Consider the multiple regression model where є¡ ~ iid Ņ(0, σ*) for i = i, 2, 3, 4, 5. (c) Fill in the values for the following ANOVA table: Source of Variation Sum of Squares df Mean Square F Regression on Xi, X2 Error Total (Corrected) (d) State the nul and alternative hypotheses associated with the F test from the ANOVA table in part (c) and do the F test (e) Compute R2 (f)...
Please solve the problems (d),(e),(f),(g)
3. (20 pts) Do not use a computer to complete the answers for this problem. Show your work in all problems. Consider the following data: 2 -2 2 1 0 4 0 2 10 0 -2 8 Consider the multiple regression model where ci ~ iid N(0, σ*) for i 1, 2, 3, 4, 5. (a) Fill in the values for response vector, design matrix and coefficient vector: X- (b) Find the vector of least...
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